Answer :
Let's complete the table by finding the coordinates for each point.
Step-by-step solution:
1. Point A:
- Eje [tex]\(X\)[/tex]: 7
- Eje [tex]\(Y\)[/tex]: 2
- Coordenada: [tex]\(( 7 ; 2 )\)[/tex] (already provided in the table)
2. Point B:
- Eje [tex]\(X\)[/tex]: 2
- Eje [tex]\(Y\)[/tex]: 2
- To determine the coordinate, combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values: [tex]\(( 2 ; 2 )\)[/tex]
3. Point C:
- Eje [tex]\(X\)[/tex]: -1
- Eje [tex]\(Y\)[/tex]: 5
- Combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values to get: [tex]\(( -1 ; 5 )\)[/tex]
4. Point D:
- Eje [tex]\(X\)[/tex]: -6
- Eje [tex]\(Y\)[/tex]: 5
- Combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values to get: [tex]\(( -6 ; 5 )\)[/tex]
5. Point E:
- Eje [tex]\(X\)[/tex]: -9
- Eje [tex]\(Y\)[/tex]: 2
- Combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values to get: [tex]\(( -9 ; 2 )\)[/tex]
6. Point F:
- Eje [tex]\(X\)[/tex]: -4
- Eje [tex]\(Y\)[/tex]: 2
- Combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values to get: [tex]\(( -4 ; 2 )\)[/tex]
7. Point G:
- Eje [tex]\(X\)[/tex]: -1
- Eje [tex]\(Y\)[/tex]: -1
- Combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values to get: [tex]\(( -1 ; -1 )\)[/tex]
Therefore, the completed table will look like this:
\begin{tabular}{|c|c|c|c|}
\hline
punto & Eje [tex]$X$[/tex] & Eje [tex]$Y$[/tex] & \begin{tabular}{c}
Coor \\
denada
\end{tabular} \\
\hline
A & 7 & 2 & [tex]$ ( 7 ; 2 )$[/tex] \\
\hline
B & 2 & 2 & [tex]$ ( 2 ; 2 )$[/tex] \\
\hline
[tex]$C$[/tex] & -1 & 5 & [tex]$ ( -1 ; 5 )$[/tex] \\
\hline
[tex]$D$[/tex] & -6 & 5 & [tex]$ ( -6 ; 5 )$[/tex] \\
\hline
[tex]$E$[/tex] & -9 & 2 & [tex]$ ( -9 ; 2 )$[/tex] \\
\hline
[tex]$F$[/tex] & -4 & 2 & [tex]$ ( -4 ; 2 )$[/tex] \\
\hline
[tex]$G$[/tex] & -1 & -1 & [tex]$ ( -1 ; -1 )$[/tex] \\
\hline
\end{tabular}
This completes the table by filling in the coordinates for each point.
Step-by-step solution:
1. Point A:
- Eje [tex]\(X\)[/tex]: 7
- Eje [tex]\(Y\)[/tex]: 2
- Coordenada: [tex]\(( 7 ; 2 )\)[/tex] (already provided in the table)
2. Point B:
- Eje [tex]\(X\)[/tex]: 2
- Eje [tex]\(Y\)[/tex]: 2
- To determine the coordinate, combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values: [tex]\(( 2 ; 2 )\)[/tex]
3. Point C:
- Eje [tex]\(X\)[/tex]: -1
- Eje [tex]\(Y\)[/tex]: 5
- Combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values to get: [tex]\(( -1 ; 5 )\)[/tex]
4. Point D:
- Eje [tex]\(X\)[/tex]: -6
- Eje [tex]\(Y\)[/tex]: 5
- Combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values to get: [tex]\(( -6 ; 5 )\)[/tex]
5. Point E:
- Eje [tex]\(X\)[/tex]: -9
- Eje [tex]\(Y\)[/tex]: 2
- Combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values to get: [tex]\(( -9 ; 2 )\)[/tex]
6. Point F:
- Eje [tex]\(X\)[/tex]: -4
- Eje [tex]\(Y\)[/tex]: 2
- Combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values to get: [tex]\(( -4 ; 2 )\)[/tex]
7. Point G:
- Eje [tex]\(X\)[/tex]: -1
- Eje [tex]\(Y\)[/tex]: -1
- Combine the [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] values to get: [tex]\(( -1 ; -1 )\)[/tex]
Therefore, the completed table will look like this:
\begin{tabular}{|c|c|c|c|}
\hline
punto & Eje [tex]$X$[/tex] & Eje [tex]$Y$[/tex] & \begin{tabular}{c}
Coor \\
denada
\end{tabular} \\
\hline
A & 7 & 2 & [tex]$ ( 7 ; 2 )$[/tex] \\
\hline
B & 2 & 2 & [tex]$ ( 2 ; 2 )$[/tex] \\
\hline
[tex]$C$[/tex] & -1 & 5 & [tex]$ ( -1 ; 5 )$[/tex] \\
\hline
[tex]$D$[/tex] & -6 & 5 & [tex]$ ( -6 ; 5 )$[/tex] \\
\hline
[tex]$E$[/tex] & -9 & 2 & [tex]$ ( -9 ; 2 )$[/tex] \\
\hline
[tex]$F$[/tex] & -4 & 2 & [tex]$ ( -4 ; 2 )$[/tex] \\
\hline
[tex]$G$[/tex] & -1 & -1 & [tex]$ ( -1 ; -1 )$[/tex] \\
\hline
\end{tabular}
This completes the table by filling in the coordinates for each point.
